KT-2914F/DF (and, even worse, the KT-3414DF) is indeed well known for this. You get a "pulsating" effect in both overall brightness and image size (all dimensions) especially when a bright image is being displayed. Cause is usually indeed the flyback. I don't know anything about the KT-2938F, unfortunately.
A somewhat similar problem apparently happens with some frequency on some Sony monitors and is also due to a bad flyback, but the root cause is actually a tube fault (which breaks the flyback).